Finding the Fourth Proportional to 9,633.94, 13,285.41 and 5,857.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.94 : 13,285.41 = 5,857.62 : x
2. Step 2: Convert to fraction form
   9,633.94/13,285.41 = 5,857.62/x
3. Step 3: Cross multiply
   9,633.94x = 13,285.41 × 5,857.62
4. Step 4: Simplify right side
   9,633.94x = 77,820,883.32
5. Step 5: Solve for x
   x = 77,820,883.32/9,633.94
6. Step 6: Final answer
   x = 8,077.78